Torsion-Free Groups with All Subgroups 4-Subnormal

DOI10.1080/00927870500276122zbMath1094.20019OpenAlexW4233584921MaRDI QIDQ5719288

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Publication date: 18 January 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870500276122

zbMATH Keywords

subnormal subgroupstorsion-free nilpotent groupsgeneralized nilpotent groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Commutator calculus (20F12)

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Cites Work

• Gruppen, deren Untergruppen subnormal vom Defekt zwei sind
• On groups in which every subgroup is subnormal
• A group with trivial centre satisfying the normalizer condition
• A class of three-Engel groups
• Subnormality conditions in non-torsion groups
• Torsion-free groups with all subgroups subnormal

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